Invertible composition operators on Banach function spaces

Authors

  • Rajeev Kumar Vidhata Nagar, Near Bathindi Morh, Jammu–180 006, INDIA Author

Keywords:

Banach function spaces, closed range, composition operators, Fredholm operator, invertibility, measurable transformation

Subjects:

47B33, 46E30, 47B07, 46B70

Abstract

In this paper, we relate composition operators with multiplicationoperators on the general Banach function spaces on a $\sigma$-finitemeasure space. We use this relation to study the invertibility and Fredholmness properties ofcomposition operators on the Banach function spaces.

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Published

2007-07-15

Issue

Vol. 59 No. 3 (2007): Vol. 59, Issue 3

Section

Articles

License

Copyright (c) 2007 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.